• 제목/요약/키워드: System Equation of Motion

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회전원판과 스프링-댐퍼를 가진 질점계의 상호작용에 의한 불안정성 (Instability caused by interaction between a rotating disk and a mass-spring-damper system)

  • 김창부;한덕호
    • 대한기계학회논문집A
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    • 제21권12호
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    • pp.2038-2046
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    • 1997
  • In this paper the instability of the system which has a disk and a mass-spring-damper system interacting through a medium having stiffness and damping is analyzed. To solve the equations of motion of this systme, it is assumed that the solution consists of the eigenfunctions which are the products of the Bessel functions and sine or cosine functions. The former represents the radial characteristics of the disk and the latter represents the circumferential characteristics. Using this assumed solution and the orthogonality of the eigenfunctions, the equations of motion can be transformed into a set of equations of motion with variables dependent only on the time. After this set is changed to the state equation, the eigenvalue problem can be made. Once the eigenvalues are calculated according to the angular velocity of the disk, the dynamic characteristics ofthis system is obtained. Because the thickness of the disk and the element characteristics of the mass-spring-damper system have important effects on the stability of the system, it will be understood how these factors affect the system and then a method to ameliorate the stability of the system with a disk will be presented.

생체모방기술을 접목한 파라미터 공간에서의 로봇제어 기법 (Robot Control Method in Parameter Space Adopting Biomimetics)

  • 김희중
    • 항공우주시스템공학회지
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    • 제12권5호
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    • pp.16-23
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    • 2018
  • 본 논문에서는 생체모방기술을 적용한 로봇제어방법에 대해 기술한다 물방개의 유영동작을 모방하고 발생시키기 위해 푸리에 최소자승기법을 적용하여 일반식을 정립하였다. 일반식의 계수의 값을 조정하여 관측된 물방개의 유영동작과 발생시킨 모방동작의 비교를 통해 제어 파라미터가 정의되었으며 각 파라미터들의 상관관계를 밝히고 이를 파라미터 공간상에 표현하여 다양한 생체모방 동작을 쉽게 발생시킬 수 있음을 확인하였다. 추가로, 생물체의 구조적인 장점을 반영한 로봇설계에 대해 간략히 소개하였고 제안한 생체모방 발생기법은 다양한 환경에서의 로봇시스템 개발에 적용 가능함을 확인하였다.

Free vibrations of fluid conveying microbeams under non-ideal boundary conditions

  • Atci, Duygu;Bagdatli, Suleyman Murat
    • Steel and Composite Structures
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    • 제24권2호
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    • pp.141-149
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    • 2017
  • In this study, vibration analysis of fluid conveying microbeams under non-ideal boundary conditions (BCs) is performed. The objective of the present paper is to describe the effects of non-ideal BCs on linear vibrations of fluid conveying microbeams. Non-ideal BCs are modeled as a linear combination of ideal clamped and ideal simply supported boundary conditions by using the weighting factor (k). Non-ideal clamped and non-ideal simply supported beams are both considered to show the effects of BCs. Equations of motion of the beam under the effect of moving fluid are obtained by using Hamilton principle. Method of multiple scales which is one of the perturbation techniques is applied to the governing linear equation of motion. Approximate solutions of the linear equation are obtained and the effects of system parameters and non-ideal BCs on natural frequencies are presented. Results indicate that, natural frequencies of fluid conveying microbeam changed significantly by varying the weighting factor k. This change is more remarkable for clamped microbeams rather than simply supported ones.

영구자석에 의한 반발형 자기부상 테이블의 안정성 해석 (Stability Analyses of Magnetic Levitation Tables Using Repulsions of Permanent Magnets)

  • 최기봉;조영근;신시타다히코;시모코베아키라
    • 한국정밀공학회지
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    • 제19권7호
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    • pp.36-42
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    • 2002
  • This paper presents two actuators for levitation using repulsions of permanent magnet and two magnetic levitation tables using the actuators. Here, one actuator for levitation consists of one fixed magnet and one moving magnet, and the other actuator consists of two fixed magnets and one moving magnet. The moving part of the magnetic levitation table contains the moving magnets. repulsive forces caused by the permanent magnets are linearized, and then the equation of motion of the moving part of the table is derived. Using the equation of motion, stability conditions of the moving part are deduced. The stability conditions are analyzed for positional relations of the moving magnets and the minimum number of active control required for stable system. As a result, in the each case of magnetic levitation tables, the requirements for stabilization are expressed by the positional relations and the number of the active controls.

계수려진을 받는 단순지지 보의 비선형 진동특성 (Nonlinear Analysis of Simply supported Elastic Beams under Parametric Excitation)

  • 손인수;;윤한익
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.712-715
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    • 2006
  • This paper presents the nonlinear characteristics of the parametric resonance of a simply supported beam which is inextensible beam. For the beam model, the order-three expanded equation of motion has been determined in a form amenable to a perturbation treatment. The equation of motion is derived by a special Cosserat theory. The method of multiple scales is used to determine the equations that describe to the first-order modulation of the amplitude of simply supported beam. The stability and the bifurcation points of the system are investigated applying the frequency response function.

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Dynamic response of a beam on multiple supports with a moving mass

  • Lee, H.P.
    • Structural Engineering and Mechanics
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    • 제4권3호
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    • pp.303-312
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    • 1996
  • The dynamic behavior of an Euler beam with multiple point constraints traversed by a moving concentrated mass, a "moving-force moving-mass" problem, is analyzed and compared with the corresponding simplified "moving-force" problem. The equation of motion in matrix form is formulated using Lagrangian approach and the assumed mode method. The effects of the presence of intermediate point constraints in reducing the fluctuation of the contact force between the mass and the beam and the possible separation of the mass from the beam are investigated. The equation of motion and the numerical results are expressed in dimensionless form. The numerical results presented are therefore applicable for a large combination of system parameters.

The theory of non-Markovian optical gain in excited semiconductors

  • Ahn, Doyeol
    • 한국광학회:학술대회논문집
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    • 한국광학회 1995년도 광학 및 양자전자학 워크샵 논문집
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    • pp.138-148
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    • 1995
  • A reduced description of the dynamics of carriers in excited semiconductors is presented. Fristly, a time-convolutionless equation of motion for the reduced density operator is derved from the microscopic Liouville wquation operator method. Secondly, the quantum kinetic equations for intercting electron-hole parirs near band-edge in semiconductors under an extermal optical field are obtained from the equation of motion for the reduced density operator. The non-Markovian optical gain of a driven semiconductor is derived including the many-body effects. plasma screening and excitinic effects are taken into account using as effective Hamiltonian in the time-dependent Hartree-Fock approximation. it is shown that the line shape of optical-gain spectra gain is enhanced by the exicitonic effects caused by the attrative electron-hole Coulomb interaction and the interference effects (renormalized memory effects) between the extermal driving filed and the intermal driving Filed and the stochastic reservoir of the system.

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An Application of Sliding Horizon Control to an Electro- Hydraulic Automotive Seat Simulator

  • Mo, Changki;Sunwoo, Myoungho;Yan, Wenzhen
    • Journal of Mechanical Science and Technology
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    • 제16권3호
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    • pp.283-291
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    • 2002
  • The paper demonstrates the tracking performance of a sliding horizon feedback/feedforward preview optimal control when applied to a hydraulic motion simulator which has been built to provide a means of replicating the actual ride dynamics of an automobile seat/human system. The design was developed by solving an ordinary differential equation problem instead of a Ricatti equation. Simulation results indicate that the proposed technique has good performance improvement in phase tracking when compared to the classical design methods. It is also found that the controller can be adjusted more easily for robustness due to more tuning parameters.

보이스 코일 모터의 정밀위치 제어를 위한 수학 모델링 및 검증 (Mathematical modeling and experimental verification far Precision Positioning Control of VCM)

  • 황진동;김주현;곽용길;김선호;안중환
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.375-378
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    • 2005
  • Voice Coil Motor is used linear motion actuator system that require precision positioning control. In order to control precision positioning of voice coil motor, Mathematical model of voice coil motor is needed. Mathematical model is obtained by combining voice coil motor's equation of motion with the equation of circuit and characteristic of voice coil motor. The induced model can predict output displacement according to duty ratio and amplitude. The model is verified by experimental test. Simulated results have tracking errors of less than 10 percent of experimental results.

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Dynamic Analysis of a Moving Vehicle on Flexible beam Structure (II) : Application

  • Park, Tae-Won;Park, Chan-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권4호
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    • pp.64-71
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    • 2002
  • Recently, mechanical systems such as a high-speed vehicles and railway trains moving on flexible beam structures have become a very important issue to consider. Using the general approach proposed in the first part of this paper, it is possible to predict motion of the constrained mechanical system and the elastic structure, with various kinds of foundation supporting conditions. Combined differential-algebraic equation of motion derived from both multibody dynamics theory and finite element method can be analyzed numerically using a generalized coordinate partitioning algorithm. To verify the validity of this approach, results from the simply supported elastic beam subjected to a moving load are compared with the exact solution from a reference. Finally, parametric study is conducted for a moving vehicle model on a simply supported 3-span bridge.